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| [[#Essence|Essence]] | | The '''quince clan''' tempers out quince, the no-threes comma {{monzo| -15 0 -2 7 }} = 823543/819200. Quince temperaments include: |
| | * [[Gamelismic clan #Miracle|miracle]] {225/224, 1029/1024} |
| | * [[Ragismic microtemperaments #Quincy|quincy]] {4375/4374, 823543/819200} |
| | * [[Varunismic temperaments #Octowerck|octowerck]] {321489/320000, 420175/419904} |
| | * [[31-comma temperaments #Birds|birds]] {3136/3125, 823543/819200} |
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| This tempers out quince, the no-threes comma |-15 0 -2 7> = 823543/819200. Quince temperaments include miracle, quincy, octowerck and birds as well as the ones listed below.
| | [[Category:Regular temperament theory]] |
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| =Essence=
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| Essence is of interest because of the abundant supply of essentially tempered chords.
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| Commas: 321489/320000, 823543/820125
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| POTE generator: ~243/196 = 372.597
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| Map: [<2 10 27 23|, <0 -11 -36 -28|]
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| Wedgie: <<22 72 56 63 27 -72||
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| EDOs: 58, 190, 248, 438d, 686d
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| Badness: 0.1736
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| ==11-limit==
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| Commas: 441/440, 8019/8000, 456533/455625
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| POTE generator: ~243/196 = 372.599
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| Map: [<2 10 27 23 33|, <0 -11 -36 -28 -42|]
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| EDOs: 58, 190, 248, 438d
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| Badness: 0.0464
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| ==13-limit==
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| Commas: 441/440, 729/728, 847/845, 1001/1000
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| POTE generator: ~243/196 = 372.602
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| Map: [<2 10 27 23 33 31|, <0 -11 -36 -28 -42 -38|]
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| EDOs: 58, 190, 248, 438d
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| Badness: 0.0261
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| [[Category:Theory]] | |
| [[Category:Temperament clan]] | | [[Category:Temperament clan]] |
| | [[Category:Quince]] |
| | [[Category:Rank 2]] |
The quince clan tempers out quince, the no-threes comma [-15 0 -2 7⟩ = 823543/819200. Quince temperaments include:
- miracle {225/224, 1029/1024}
- quincy {4375/4374, 823543/819200}
- octowerck {321489/320000, 420175/419904}
- birds {3136/3125, 823543/819200}